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Finding the Fourth Proportional to 284,121.54, 426,056.76 and 106,503.95

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Solution

The fourth proportional to 284,121.54, 426,056.76 and 106,503.95 is: 159,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,121.54 : 426,056.76 = 106,503.95 : x
  2. Step 2: Convert to fraction form
    284,121.54/426,056.76 = 106,503.95/x
  3. Step 3: Cross multiply
    284,121.54x = 426,056.76 × 106,503.95
  4. Step 4: Simplify right side
    284,121.54x = 45,376,728,929.34
  5. Step 5: Solve for x
    x = 45,376,728,929.34/284,121.54
  6. Step 6: Final answer
    x = 159,708.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.